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First note that the Sitecore setup (CM, CD, etc) backing any JSS application can certainly not run on service fabric.

If using JSS for JavaScript apps (i.e. React), then the JSS app requires a Node host. If service fabric can run Node apps, then JSS should work.

If you want to use .NET Core, then it is theoretically possible to consume JSS's services (i.e. layout service) over HTTP from .NET Core, then render the app using ASP.NET Core MVC instead of JS. This is probably not what you mean, however - hosting a JSS JS app within a .NET Core environment would basically mean using .NET Core to shell out to Node, which is pretty much a waste.